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Solution


Q.

Assertion (A): sin 2θ+cos 2θ=1

Reason (R): An equation involving trigonometric ratios of an angle θ (say) is called trigonometric identity if it is satisfied for some particular values of θ like 0°, 30°, 45°, 60° and 90°.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A  
3 A is true, but R is false.  
4 A is false, but R is true.  

Ans.

(3)

Fact given in Assertion (A) i.e. sin 2θ+cos 2θ=1

is true because it is a trigonometric identity and satisfies for any value of θ for which trigonometric ratios involved in it exist.

Hence, assertion (A) is true.

But reason (R) is false as fact given under Reason (R) is not true because a trigonometric identity is satisfied for any value of θ, for which trigonometric ratios involved in it are defined.